Question

Calculate the change that should be affected in the velocity of a body to maintain the same KE, if mass of the body is increased to 4 times.

Answer 1

Kinetic energy = 1/2 *m * v^2

If the mass if four times = 4m

=1/2 * m* v^2

=1/2 * 4m * v^2

We can also write it as.....

= 4 * 1/2 *m * v^ 2

And 1/2 * m * v^ 2 is kinetic energy

Therefore: kinetic energy will be 4 times.

Hope it will help